An Adaptive hp-DG Method with Dynamically-Changing Meshes for Non-Stationary Compressible Euler Equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23220%2F13%3A43919683" target="_blank" >RIV/49777513:23220/13:43919683 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
An Adaptive hp-DG Method with Dynamically-Changing Meshes for Non-Stationary Compressible Euler Equations
Original language description
Compressible Euler equations describing the motion of compressible inviscid fluids are typically solved by means of low-order Finite Volume (FVM) or Finite Element (FEM) methods. A promissing recent alternative to these low-order methods is the higher-order Discontinuous Galerkin (hp-DG) method that combines the stability of FVM with excellent approximation properties of higher-order FEM. This paper presents a novel hp-adaptive algorithm for the hp-DG method which is based on meshes that change dynamically in time. The algorithm reduces the order of the approximation on shocks and keeps higher-order elements where the approximation is smooth, which leads to an efficient discretization of the time-dependent problem. The method is described and numericalexamples are presented.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
JA - Electronics and optoelectronics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP102%2F11%2F0498" target="_blank" >GAP102/11/0498: New adaptive higher-order monolithic methods for numerical solution of evolutionary multiphysics problems in electrical engineering</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů